Adjoint fermion zero-modes for SU(N) calorons

Abstract

We derive analytic formulas for the zero-modes of the Dirac equation in the adjoint representation in the background field of Q=1 SU(N) calorons. Solutions with various boundary conditions are obtained, including the physically most relevant cases of periodic and antiperiodic ones. The latter are essential ingredients in a semiclassical treatment of finite temperature supersymmetric Yang-Mills theory. A detailed discussion of adjoint zero-modes in several other contexts is also presented.

40 latex pages and 5 eps figures

References in corpus (7)

• Center-stabilized Yang-Mills theory: confinement and large $N$ volume independence
• Abelian duality, confinement, and chiral symmetry breaking in QCD(adj)
• Dual quark condensate and dressed Polyakov loops
• Finite size phase transitions in QCD with adjoint fermions
• Confining ensemble of dyons
• Calorons and dyons at the thermal phase transition analyzed by overlap fermions
• Gluino zero-modes for calorons at finite temperature